<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The paper shows the approach to the interpolation of scattered data which includes not only function values, but also values of derivatives of the function. To this end, an interpolant composed of radial basis functions is used and extended by terms possessing appropriate derivative terms. The latter match the given derivatives. Special attention is paid to the problem of choosing the value of the shape parameter, which is included in radial functions and influences the accuracy and stability of the solution. To validate the method, several numerical tests are carried out in the paper.</p></abstract>

The paper shows the approach to the interpolation of scattered data which includes not only function values, but also values of derivatives of the function. To this end, an interpolant composed of radial basis functions is used and extended by terms possessing appropriate derivative terms. The latter match the given derivatives. Special attention is paid to the problem of choosing the value of the shape parameter, which is included in radial functions and influences the accuracy and stability of the solution. To validate the method, several numerical tests are carried out in the paper.

Hermite Interpolation of Multivariable Function Given at Scattered Points

Institute of Computer Science, Mechanical faculty

Technical Transactions

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

{"article-title":"Hermite Interpolation of Multivariable Function Given at Scattered Points"}

The paper shows the approach to the interpolation of scattered data which includes not only function values, but also values of derivatives of the function. To...

Hermite Interpolation of Multivariable Function Given at Scattered Points

Published Online: May 26, 2020

Page range: 199 - 205

DOI: https://doi.org/10.4467/2353737XCT.17.142.6893

Keywords
scattered data interpolation, Hermite interpolation, radial basis functions

© 2020 Artur Krowiak et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

Hermite Interpolation of Multivariable Function Given at Scattered Points

Published Online: May 26, 2020

Page range: 199 - 205

DOI: https://doi.org/10.4467/2353737XCT.17.142.6893

Keywordsscattered data interpolation, Hermite interpolation, radial basis functions

© 2020 Artur Krowiak et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 Public License.

Keywords
scattered data interpolation, Hermite interpolation, radial basis functions